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A-class busy period AN(H AN(tH assumed assumptions B-class busy begins the busy Bernoulli trials busy period process cUM(s customer arriving customer belonging customer of type customers present D. P. Gaver defined duration equation exponentially distributed fi(s First-Come First-Served Hence initial instant TQ interruptions J-process joint distribution function Laplace-Stieltjes transform Lemma Let us denote long-run idle probability low-priority customer low-priority group Markov Chain Markov process Markov Renewal Process members of class N(TQ NL(t NL(TQ number of customers obtained period is initiated positive recurrent Pr[NL(Tn priority queues probabilities is given problem process with rate Pyke qE(TB qh(Xp queue discipline Queueing Models queueing system queueing theory required waiting resampling of setup result Semi-Markov Processes sequence of random server oriented stationary Poisson process Stieltjes transform stochastic processes successive busy cycles thesis total waiting type A customer type B begins unelapsed completion waiting time distribution waiting-time distribution xP[i Xp[l zero